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Chapter 4: Q5. (page 162)

Complete.

鈻�CAPand鈻�TAP are equilateral and coplanar.AP炉 is a common side of the two triangles.m鈭�CAT=?_ (numerical answer).

Short Answer

Expert verified

The complete statement is: 鈻�CAPand 鈻�TAPare equilateral and coplanar.AP炉 is a common side of the two triangles. m鈭�CAT=120掳.

Step by step solution

01

- Draw the diagram.

The diagram showing the given situation is:

02

- Description of step.

The equilateral triangle is a triangle in which all the three sides of the triangle are equal and all the angles are of the measure60掳 .

As, the triangle鈻�CAPis equilateral, therefore, in the triangle ,鈻�CAP.

鈭�CAP=鈭�APC=鈭�PCA=60掳

As, the triangle鈻�TAPis equilateral, therefore, in the triangle ,鈻�TAP.

鈭�TAP=鈭�APT=鈭�PTA=60掳

From the diagram it can be noticed that:

鈭�CAT=鈭�CAP+鈭�TAP.

Therefore, it can be obtained that:

鈭�CAT=鈭�CAP+鈭�TAP=60掳+60掳=120掳

Therefore, the measure of the angle鈭�CAT is120掳 .

03

- Write the complete statement.

Therefore, the complete statement is: 鈻�CAPand 鈻�TAPare equilateral and coplanar.AP炉 is a common side of the two triangles.m鈭�CAT=120掳 .

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